λ
Harmonic Matrix

9,315,359

9315359
Deficient Odd Prime

9,315,359 has digital root 8. The neighboring primes are 9315347 and 9315367; its proper-divisor sum differs from the starting integer by -9,315,358.

Prime Factor Structure

Factorization String 9315359
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,315,360
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9315347 ← → #9315367

Radix Representation

Decimal 9315359
Binary 100011100010010000011111 (24 bits)
Octal 0o43422037
Hexadecimal 0x8E241F

Divisor Catalog (2)

1 9,315,359

Collatz Trajectory (163 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,315,359 27,946,078 13,973,039 41,919,118 20,959,559 62,878,678 31,439,339 94,318,018 47,159,009 141,477,028 70,738,514 35,369,257 106,107,772 53,053,886 26,526,943 79,580,830 39,790,415 119,371,246 59,685,623 179,056,870 89,528,435 268,585,306 134,292,653 402,877,960 201,438,980 100,719,490 50,359,745 151,079,236 75,539,618 37,769,809 113,309,428 56,654,714 28,327,357 84,982,072 42,491,036 21,245,518 10,622,759 31,868,278 15,934,139 47,802,418 23,901,209 71,703,628 35,851,814 17,925,907 53,777,722 26,888,861 80,666,584 40,333,292 20,166,646 10,083,323 30,249,970 15,124,985 45,374,956 22,687,478 11,343,739 34,031,218 17,015,609 51,046,828 25,523,414 12,761,707

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